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Popular >

derivative of arcsec(x^2)

Solution

\frac{d}{d x} (arcsec (x^{2}))

Solution

\frac{2}{x x ^{4} - 1}

Solution steps

\frac{d}{d x} (arcsec (x^{2}))

Apply the chain rule:

\frac{1}{( x ^{2} ) ^{2} ( x ^{2} ) ^{2} - 1} \frac{d}{d x} (x^{2})

= \frac{1}{( x ^{2} ) ^{2} ( x ^{2} ) ^{2} - 1} \frac{d}{d x} (x^{2})

\frac{d}{d x} (x^{2}) = 2 x

= \frac{1}{( x ^{2} ) ^{2} ( x ^{2} ) ^{2} - 1} \cdot 2 x

Simplify

\frac{1}{( x ^{2} ) ^{2} ( x ^{2} ) ^{2} - 1} \cdot 2 x : \frac{2}{x x ^{4} - 1}

= \frac{2}{x x ^{4} - 1}

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Frequently Asked Questions (FAQ)

What is the derivative of arcsec(x^2) ?
The derivative of arcsec(x^2) is 2/(xsqrt(x^4-1))
What is the first derivative of arcsec(x^2) ?
The first derivative of arcsec(x^2) is 2/(xsqrt(x^4-1))